# 125

## 125 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

What does the number 125 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 4 divisors.

125 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

## Prime factorization of 125:

### 53

(5 × 5 × 5)

See below for interesting mathematical facts about the number 125 from the Numbermatics database.

### Names of 125

• Cardinal: 125 can be written as One hundred twenty-five.

### Scientific notation

• Scientific notation: 1.25 × 102

### Factors of 125

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 5

### Divisors of 125

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 156
• Sum of proper divisors (its aliquot sum) s(n): 31
• 125 is a deficient number, because the sum of its proper divisors (31) is less than itself. Its deficiency is 94

### Bases of 125

• Binary: 11111012
• Base-36: 3H

### Squares and roots of 125

• 125 squared (1252) is 15625
• 125 cubed (1253) is 1953125
• The square root of 125 is 11.1803398875
• 125 is a perfect cube number. Its cube root is 5

### Scales and comparisons

How big is 125?
• 125 seconds is equal to 2 minutes, 5 seconds.
• To count from 1 to 125 would take you about two seconds.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 125 cubic inches would be around 0.4 feet tall.

### Recreational maths with 125

• 125 backwards is 521
• The number of decimal digits it has is: 3
• The sum of 125's digits is 8
• More coming soon!